\(\int (d \sin (e+f x))^n (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) \, dx\) [1]
   \(\int (d \sin (e+f x))^n (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) \, dx\) [2]
   \(\int (d \sin (e+f x))^n (a+a \sin (e+f x)) (A+B \sin (e+f x)) \, dx\) [3]
   \(\int \genfrac {}{}{}{}{(d \sin (e+f x))^n (A+B \sin (e+f x))}{a+a \sin (e+f x)} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{(d \sin (e+f x))^n (A+B \sin (e+f x))}{(a+a \sin (e+f x))^2} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{(d \sin (e+f x))^n (A+B \sin (e+f x))}{(a+a \sin (e+f x))^3} \, dx\) [6]
   \(\int (d \sin (e+f x))^n (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) \, dx\) [7]
   \(\int (d \sin (e+f x))^n (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) \, dx\) [8]
   \(\int (d \sin (e+f x))^n \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) \, dx\) [9]
   \(\int \genfrac {}{}{}{}{(d \sin (e+f x))^n (A+B \sin (e+f x))}{\sqrt {a+a \sin (e+f x)}} \, dx\) [10]
   \(\int \genfrac {}{}{}{}{(d \sin (e+f x))^n (A+B \sin (e+f x))}{(a+a \sin (e+f x))^{3/2}} \, dx\) [11]
   \(\int (d \sin (e+f x))^n (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [12]
   \(\int (d \sin (e+f x))^n (a-a \sin (e+f x)) (a+a \sin (e+f x))^m \, dx\) [13]
   \(\int \sin ^n(c+d x) (a+a \sin (c+d x))^{-2-n} (-1-n-(-2-n) \sin (c+d x)) \, dx\) [14]
   \(\int \sin ^{-2-m}(c+d x) (a+a \sin (c+d x))^m (1+m-m \sin (c+d x)) \, dx\) [15]
   \(\int \genfrac {}{}{}{}{\sin ^2(e+f x) (A+B \sin (e+f x))}{(a+b \sin (e+f x))^2} \, dx\) [16]
   \(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c-c \sin (e+f x))^4 \, dx\) [17]
   \(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c-c \sin (e+f x))^3 \, dx\) [18]
   \(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c-c \sin (e+f x))^2 \, dx\) [19]
   \(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c-c \sin (e+f x)) \, dx\) [20]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{c-c \sin (e+f x)} \, dx\) [21]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{(c-c \sin (e+f x))^2} \, dx\) [22]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{(c-c \sin (e+f x))^3} \, dx\) [23]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{(c-c \sin (e+f x))^4} \, dx\) [24]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{(c-c \sin (e+f x))^5} \, dx\) [25]
   \(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c-c \sin (e+f x))^5 \, dx\) [26]
   \(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c-c \sin (e+f x))^4 \, dx\) [27]
   \(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c-c \sin (e+f x))^3 \, dx\) [28]
   \(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c-c \sin (e+f x))^2 \, dx\) [29]
   \(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c-c \sin (e+f x)) \, dx\) [30]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{c-c \sin (e+f x)} \, dx\) [31]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^2} \, dx\) [32]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^3} \, dx\) [33]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^4} \, dx\) [34]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^5} \, dx\) [35]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^6} \, dx\) [36]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^7} \, dx\) [37]
   \(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c-c \sin (e+f x))^6 \, dx\) [38]
   \(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c-c \sin (e+f x))^5 \, dx\) [39]
   \(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c-c \sin (e+f x))^4 \, dx\) [40]
   \(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c-c \sin (e+f x))^3 \, dx\) [41]
   \(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c-c \sin (e+f x))^2 \, dx\) [42]
   \(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c-c \sin (e+f x)) \, dx\) [43]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{c-c \sin (e+f x)} \, dx\) [44]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^2} \, dx\) [45]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^3} \, dx\) [46]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^4} \, dx\) [47]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^5} \, dx\) [48]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^6} \, dx\) [49]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^7} \, dx\) [50]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^8} \, dx\) [51]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^4}{a+a \sin (e+f x)} \, dx\) [52]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^3}{a+a \sin (e+f x)} \, dx\) [53]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^2}{a+a \sin (e+f x)} \, dx\) [54]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))}{a+a \sin (e+f x)} \, dx\) [55]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x)) (c-c \sin (e+f x))} \, dx\) [56]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x)) (c-c \sin (e+f x))^2} \, dx\) [57]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x)) (c-c \sin (e+f x))^3} \, dx\) [58]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x)) (c-c \sin (e+f x))^4} \, dx\) [59]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^5}{(a+a \sin (e+f x))^2} \, dx\) [60]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^4}{(a+a \sin (e+f x))^2} \, dx\) [61]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^3}{(a+a \sin (e+f x))^2} \, dx\) [62]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^2}{(a+a \sin (e+f x))^2} \, dx\) [63]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))}{(a+a \sin (e+f x))^2} \, dx\) [64]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))} \, dx\) [65]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^2} \, dx\) [66]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^3} \, dx\) [67]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^4} \, dx\) [68]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^5} \, dx\) [69]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^5}{(a+a \sin (e+f x))^3} \, dx\) [70]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^4}{(a+a \sin (e+f x))^3} \, dx\) [71]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^3}{(a+a \sin (e+f x))^3} \, dx\) [72]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^2}{(a+a \sin (e+f x))^3} \, dx\) [73]
   \(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))}{(a+a \sin (e+f x))^3} \, dx\) [74]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))} \, dx\) [75]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^2} \, dx\) [76]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^3} \, dx\) [77]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^4} \, dx\) [78]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^5} \, dx\) [79]
   \(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^6} \, dx\) [80]
   \(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2} \, dx\) [81]
   \(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2} \, dx\) [82]
   \(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2} \, dx\) [83]
   \(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)} \, dx\) [84]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [85]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [86]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [87]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{7/2}} \, dx\) [88]
   \(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2} \, dx\) [89]
   \(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2} \, dx\) [90]
   \(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2} \, dx\) [91]
   \(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)} \, dx\) [92]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [93]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [94]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [95]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{7/2}} \, dx\) [96]
   \(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{9/2}} \, dx\) [97]
   \(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2} \, dx\) [98]
   \(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2} \, dx\) [99]
   \(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2} \, dx\) [100]